An aluminum bar is attached to rigid (immovable) walls on both ends as shown below. The temperature where the bar experiences no stress is 20OC. Calculate the temperature when the bar reaches a compressive stress of 100 MPa and the temperature when the bar reaches a tensile stress of 15 MPa. EA = 70x103 MPa, and αA = 2.3x10-6 m/m/OC. Aluminum = 2m

Along 8-cm diameter steam pipe whose external surface temperature is 900c connects two buildings. the pipe is exposed to ambient air at 70c with a wind speed of 50 km/hr blowing across the pipe. determine the heat loss from the pipe per unit length. (b) air at 500c enters a section of a rectangular duct (15 cm x 20 cm) at an average velocity of 7 m/s. if the walls of the duct are maintained at 100c. a) the length of the tube for an exit temperature of the air to be 40 0c. b)the rate of heat transfer from the air. c) the fan power needed to overcome the pressure drop in this section of the duct.